An optimally convergent adaptive mixed finite element method

doi:10.1007/s00211-008-0180-8

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	An optimally convergent adaptive mixed finite element method
	Becker, Roland 1; Mao, Shipeng2
刊名	NUMERISCHE MATHEMATIK
	2008-11-01
卷号	111 期号:1 页码:35-54
ISSN号	0029-599X
DOI	10.1007/s00211-008-0180-8
英文摘要	We prove convergence and optimal complexity of an adaptive mixed finite element algorithm, based on the lowest-order Raviart-Thomas finite element space. In each step of the algorithm, the local refinement is either performed using simple edge residuals or a data oscillation term, depending on an adaptive marking strategy. The inexact solution of the discrete system is controlled by an adaptive stopping criterion related to the estimator.
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000260184800002
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/6045]
专题	计算数学与科学工程计算研究所
通讯作者	Becker, Roland
作者单位	1.Univ Pau, Lab Math Appl, F-64013 Pau, France 2.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Becker, Roland,Mao, Shipeng. An optimally convergent adaptive mixed finite element method[J]. NUMERISCHE MATHEMATIK,2008,111(1):35-54.
APA	Becker, Roland,&Mao, Shipeng.(2008).An optimally convergent adaptive mixed finite element method.NUMERISCHE MATHEMATIK,111(1),35-54.
MLA	Becker, Roland,et al."An optimally convergent adaptive mixed finite element method".NUMERISCHE MATHEMATIK 111.1(2008):35-54.